y = 3 sin 2x – 3.

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A: To find the common ratio, one has to divide the second term by first term, that is r=-210=-0.2 Since...

Q: Can you answer it?

A:

Q: Identify the point of diminishing returns for the input-output function. R is the revenue and x is t...

A: Consider the given input-output function, Rx=-25x3-4x-4, on the interval 0≤x≤3. The point of diminis...

Q: See attached

A:

Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: that V2- Vz sin 22.5° %3D 2 n exact expression for the indicated quantity. 2.5° %3D Edit

A:

Q: If a savings fund pays interest at a rate of 3% per year compounded semiannually, how much money inv...

A: Compound interest is a form increments in the savings where each increment is added regularly to the...

Q: A conical tank is designed so that the sum of the radius and the height of the cone is 60 inches. Fi...

A: let the radius of  conical tank is r and height is h  therefore r+h=60  , h=60-r volume of cone(V)=1...

Q: I need help evaluating this integral

A: Given: I=∫6+3y22dy we know that a+b2=a2+2ab+b2                                 ..1

Q: EXAMPLE 2 An ellipsoid The surface defined by the equation 1 is an ellipsoid. Graph the ellipsoid wi...

A: x2a2+y2b2+z2c2=1 Put a=3, b=4, and c=5, we get x232+y242+z252=1⇒x29+y216+z225=1

Q: (d10/dx10)(xex)

A: Given: xex

Q: dP A population is modeled by the differential equation dt 1.4P For what 4560 values of P is the pop...

A: Given    dPdt=1.4P1-P4560 P represents population and t represents time. Population is increasing me...

Q: Find | x²z ds, where C is the line segment C from (0,-3,2) to (-3,-2,8)

A: Given C is the line segment from (0,-3,2) to (-3,-2,8) Now write the parametric equation for C r(t)=...

Q: Given y=4x^2+5x, find dy/dt when x=-3 and dx/dt=5

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Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C f...

A: Formula that one has to use here is ∫xndx=xn+1n+1+C

Q: Theorem 1 in Section 2.4 states the following: "If f and g are continuous functions, then f + g is c...

A: We have to check given statement is correct or not.

Q: 4. A certain particle is travelling in a straight line governed by the equation a = v5 m / s?. If th...

A: we know the first equation of motionv=u+atv=1+2v95  m/s

Q: Find the equations of two lines through the origin that are tangent to the ellipse 2x - 6x+y +4 = 0

A: Consider the given equation:2x2−6x+y2+4=0Let a line y=mx+c is a tangent to the ellipse.Tangent passe...

Q: Please solve this question using application of derivatives!!   A conical tank is designed so that t...

A: the volume of the conical tank is given by the formula, V=13πr2h where r is the radius of the cone a...

Q: 1 Suppose 0 < 0 < and sin 0 = 2 Evaluate cos 0 and tan 0. 14 Enter the exact answers. (a)cos 0 = ? E...

A: Given information: sinθ=114 Calculation: sinθ=1→P14→H In the Pythagoras triangle,  The perpendicular...

Q: Use exact values of trigonometric functions to show that the statement is true. Notice that the stat...

A: the given equation is  sin60°sin30°=12cos60°-30°+cos60°+30°

Q: Use Polya's steps in solving the problem and identify the strategy being used. Question: Alden wo...

A: Nikka travels with constant speed when he/she moves out of his hose before 5 PM. now, Let t be the t...

Q: etermine whether the sequence converges or diverges. If it converges, find the limit. (If an answer ...

A:

Q: Verify the identity:

A: The given identity is sin3x+cos3x=sinx+cosx1-sin2x2

Q: Explain Tangent Planes and Normal Lines?

A: According to the question, we have to define the term tangent plane and normal lines. The tangent pl...

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) = (t ...

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Q: Some comets, such as Halley's comet, are a permanent part of the solar system, traveling in elliptic...

A: The sum is at the foci that is (c,0) of the hyperbola x2a2-y2b2=1, thus the vertex is at (a,0). the ...

Q: Solve the following problems. Apply the different rules and formulas for differentiation in finding ...

A: To find the first derivative of the following function. f(x)=cos(e3x-4)

Q: Suppose 0 < 0 < and tan 0 = 2 -. Evaluate Cos 0 and sin 3 Enter the exact answers. (a)cos 0 = ? Edit...

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Q: Determine the area of the surface of revolution defined by the function g(y) = 9- y²,0 s ys 1 rotate...

A: Given function is, g(y)=9-y2 ,0≤y≤1 Area of the surface of the revolution about the y axis is given ...

Q: Find the derivative of the tangent line 3x^2 +3x+3

A: We have to find the derivative of tangent line for the given curve: y=3x2+3x+3 We know, daxndx=adxnd...

Q: Please help

A: (a) Given that: To calculate the value of “a” does the limits  exist,   For the given function, ex...

Q: - Combining Functions If f(x) =x² - 3x + 2 and g(x) = 4 – 3x, find the following functions. (a) f+g ...

A: Given that, f(x)=x2-3x+2g(x)=4-3x

Q: The work force of a certain factory is growing at rate of 2 per month while the average productivity...

A:  

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify y...

A: To find the critical numbers, one has to find the derivative of the function and then set the deriva...

Q: Find the limits by rewriting the fractions first.

A: Let the given limit be, L=limx,y→1,-1x3+y3x+y Consider the algebraic identity, a+b3=a3+b3+3aba+b⇒a3+...

Q: Does adding a constant term to a function affect the existence of an inverse function? Explain.

A: Does adding a constant term to a function affect the existence of an inverse function? Explain.

Q: Suppose v is in the interval with tan v = -5. Find the exact expression for the indicated quantity. ...

A: tan(v-12π)=tan(-(12π-v))

Q: Given that V2- v2 sin 2 find the exact expression for the indicated quantity. 9n sin 8 II

A: Dear student as per our rule in one session we can only solve one question. Please post the other qu...